[" (a) "sin A(1+tan A)+cos A(1+cot A)=sec A+],[" (b) "(1-sin theta)(1+sin theta)(1+tan^(2)theta)=1]

(sin theta tan theta)/(1-cos theta)=1+sec theta

(1)/(1-sin theta)-(1)/(1+sin theta)=2sec theta*tan theta

(cos theta)/(1 - tan theta) + (sin theta)/(1 - cot theta) =……...

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+2theta)/(1+sin2 theta-cos 2 theta)=cot theta

(tan A) / (1-cot A) + (cot A) / (1-tan A) = 1 + tan A + cot A = 1 + sec A cos ecA (1 + cos theta + sin theta) / (1 + cos theta-sin theta) = (1 + sin theta) / (cos theta)

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

(cos ec theta-sin theta)(sec theta-cos theta)(tan theta+cot theta)=1

(2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )/( (1+ tan theta)^(2))= .......... A) (sin theta)/(1+ tan theta) B) (2 sin theta)/(1+ tan theta) C) (2 sin theta)/((1+ tan theta )^(2)) D) (sin theta)/((1+ tan theta)^(2))

tan theta= A) (sqrt(1-sin^(2)theta))/(sin theta) , B) (1)/(sec theta) , C) (sin theta)/(sqrt(1-sin^(2)theta)) D) (1)/(sqrt(1+Cot^(2)theta)

(tan theta)/(sec theta-1)-(sin theta)/(1+cos theta)=2cot theta